Answer all parts of the questions. Giving a numerical result without showing supporting work may result in no credit being given. vs(t) 7.5 2.5 0 1 2 3 t Vs +1 20 Ω ww 40 Ω ww İL 50 mF 100 mH 1. For the above waveform, derive the Fourier series representation of the waveform. 2. The waveform above is applied to the input of the above circuit. Using the Fourier series derived in part 1, determine the current through the inductor i for the first 3 non-zero terms of the series. Consider initial conditions of the capacitor and inductor to be zero. 3. If the waveform is applied across a 10 resistor, calculate the exact amount of average power absorbed by the resistor. 4. Calculate the average power absorbed by the 10 2 resistor from the first 3 non-zero terms of the Fourier series. 5. What percentage of the total power (calculation of part 3) is delivered by the first 3 non-zero terms (calculation of part 4) of the Fourier series?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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Answer all parts of the questions. Giving a numerical result without showing supporting work may result in no credit being given.
vs(t)
7.5
2.5
0 1 2 3 t
Vs
+1
20 Ω
ww
40 Ω
ww
İL
50 mF
100 mH
1. For the above waveform, derive the Fourier series representation of the waveform.
2. The waveform above is applied to the input of the above circuit. Using the Fourier series derived in part 1, determine the current through the inductor i for the first 3 non-zero terms of the
series. Consider initial conditions of the capacitor and inductor to be zero.
3. If the waveform is applied across a 10 resistor, calculate the exact amount of average power absorbed by the resistor.
4. Calculate the average power absorbed by the 10 2 resistor from the first 3 non-zero terms of the Fourier series.
5. What percentage of the total power (calculation of part 3) is delivered by the first 3 non-zero terms (calculation of part 4) of the Fourier series?
Transcribed Image Text:Answer all parts of the questions. Giving a numerical result without showing supporting work may result in no credit being given. vs(t) 7.5 2.5 0 1 2 3 t Vs +1 20 Ω ww 40 Ω ww İL 50 mF 100 mH 1. For the above waveform, derive the Fourier series representation of the waveform. 2. The waveform above is applied to the input of the above circuit. Using the Fourier series derived in part 1, determine the current through the inductor i for the first 3 non-zero terms of the series. Consider initial conditions of the capacitor and inductor to be zero. 3. If the waveform is applied across a 10 resistor, calculate the exact amount of average power absorbed by the resistor. 4. Calculate the average power absorbed by the 10 2 resistor from the first 3 non-zero terms of the Fourier series. 5. What percentage of the total power (calculation of part 3) is delivered by the first 3 non-zero terms (calculation of part 4) of the Fourier series?
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